dorsal/arxiv
View SchemaDetermination of two-body potentials from n-body spectra
| Authors | E. J. O. Gavin, H. Leeb, H. Fiedeldey |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9302010 |
| URL | https://arxiv.org/abs/nucl-th/9302010 |
| DOI | 10.1103/PhysRevA.48.3504 |
Abstract
We show how the two-body potential may be uniquely determined from n-body spectra where the hypercentral approximation is valid. We illustrate this by considering an harmonic oscillator potential which has been altered by changing the energy or normalisation constant of the ground state of the n-body system and finding how this modifies the two-body potential. It is shown that with increasing number of particles the spectrum must be known more precisely to obtain the two-body potential to the same degree of accuracy.
{
"annotation_id": "8a3643c2-0b6e-4671-95ee-be59c1643b46",
"date_created": "2026-03-02T18:00:11.017000Z",
"date_modified": "2026-03-02T18:00:11.017000Z",
"file_hash": "f440cda582e68d0ca05ca217656b922ff53e0e3ce15e8b1124c56839daca33e4",
"private": false,
"record": {
"abstract": "We show how the two-body potential may be uniquely determined from n-body\nspectra where the hypercentral approximation is valid. We illustrate this by\nconsidering an harmonic oscillator potential which has been altered by changing\nthe energy or normalisation constant of the ground state of the n-body system\nand finding how this modifies the two-body potential. It is shown that with\nincreasing number of particles the spectrum must be known more precisely to\nobtain the two-body potential to the same degree of accuracy.",
"arxiv_id": "nucl-th/9302010",
"authors": [
"E. J. O. Gavin",
"H. Leeb",
"H. Fiedeldey"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevA.48.3504",
"title": "Determination of two-body potentials from n-body spectra",
"url": "https://arxiv.org/abs/nucl-th/9302010"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8e1c3d3d-a0b7-4ca7-bbe9-57468597f1e6",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}